Edit Profile (opens in new tab) Poncin, Norbert Co-Author Distance Author ID: poncin.norbert Published as: Poncin, Norbert; Poncin, N. Documents Indexed: 58 Publications since 1998, including 12 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 32 Co-Authors with 50 Joint Publications 280 Co-Co-Authors all top 5 Co-Authors 10 single-authored 13 Grabowski, Janusz 9 Pištalo, Damjan 8 Covolo, Tiffany 5 Kotov, Alexei 4 Ammar, Mourad 4 Bruce, Andrew James 4 Di Brino, Gennaro 4 Govzmann, Alisa 3 Jubin, Benoît 3 Khudaverdyan, David 3 Kwok, Stephen Diwen 3 Mathonet, Pierre 3 Wolak, Robert A. 2 Frégier, Yaël 2 Ibarguengoytia, Eduardo 2 Kass, Guy 2 Masmoudi, Mohsen 2 Radoux, Fabian 1 Bonavolontà, Giuseppe 1 Boniver, Fabien 1 Dotsenko, Vladimir Viktorovich 1 Hansoul, Sarah 1 Kubarski, Jan 1 Mandal, Ashis 1 Molitor-Braun, Carine 1 Ovsienko, Valentin Yu. 1 Qiu, Jian 1 Salnikov, Vladimir 1 Schlichenmaier, Martin 1 Schouten, Sarah 1 Uchino, Kyosuke 1 Uchino, Kyousuke all top 5 Serials 6 Journal of Geometry and Physics 2 Bulletin de la Société Royale des Sciences de Liège 2 Dissertationes Mathematicae 2 Journal of Lie Theory 2 Theory and Applications of Categories 2 Transformation Groups 2 Journal of Nonlinear Mathematical Physics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Travaux Mathématiques 2 Journal of Homotopy and Related Structures 2 Journal of Geometric Mechanics 1 Communications in Algebra 1 Israel Journal of Mathematics 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Annales de l’Institut Fourier 1 Compositio Mathematica 1 Gazette des Mathématiciens 1 Journal of Algebra 1 Journal of Pure and Applied Algebra 1 Pacific Journal of Mathematics 1 Revista de la Unión Matemática Argentina 1 Indagationes Mathematicae. New Series 1 Applied Categorical Structures 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Central European Journal of Mathematics 1 Surveys in Mathematics and its Applications all top 5 Fields 34 Nonassociative rings and algebras (17-XX) 27 Global analysis, analysis on manifolds (58-XX) 22 Differential geometry (53-XX) 14 Associative rings and algebras (16-XX) 12 Category theory; homological algebra (18-XX) 10 Algebraic geometry (14-XX) 7 Commutative algebra (13-XX) 5 Algebraic topology (55-XX) 2 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 2 Topological groups, Lie groups (22-XX) 2 Functional analysis (46-XX) 2 Manifolds and cell complexes (57-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 39 Publications have been cited 339 times in 154 Documents Cited by ▼ Year ▼ On the category of Lie \(n\)-algebroids. Zbl 1332.58005 Bonavolontà, Giuseppe; Poncin, Norbert 44 2013 The category of \(\mathbb{Z}_2^n\)-supermanifolds. Zbl 1345.58003 Covolo, Tiffany; Grabowski, Janusz; Poncin, Norbert 26 2016 Splitting theorem for \(\mathbb{Z}_2^n\)-supermanifolds. Zbl 1404.58011 Covolo, Tiffany; Grabowski, Janusz; Poncin, Norbert 25 2016 Coalgebraic approach to the Loday infinity category, stem differential for \(2n\)-ary graded and homotopy algebras. Zbl 1208.53084 Ammar, Mourad; Poncin, Norbert 24 2010 Towards integration on colored supermanifolds. Zbl 1416.58002 Poncin, Norbert 21 2016 The supergeometry of Loday algebroids. Zbl 1294.53072 Grabowski, Janusz; Khudaverdyan, David; Poncin, Norbert 19 2013 Higher trace and Berezinian of matrices over a Clifford algebra. Zbl 1308.15023 Covolo, Tiffany; Ovsienko, Valentin; Poncin, Norbert 19 2012 Equivariant symbol calculus for differential operators acting on forms. Zbl 1035.17034 Boniver, F.; Hansoul, S.; Mathonet, P.; Poncin, N. 13 2002 A tale of three homotopies. Zbl 1375.18076 Dotsenko, Vladimir; Poncin, Norbert 12 2016 Functional analytic issues in \(\mathbb{Z}_2^n\)-geometry. Zbl 1431.58002 Bruce, Andrew James; Poncin, Norbert 12 2019 Local forms of morphisms of colored supermanifolds. Zbl 1478.58004 Covolo, Tiffany; Kwok, Stephen; Poncin, Norbert 11 2021 Automorphisms of quantum and classical Poisson algebras. Zbl 1044.17013 Grabowski, J.; Poncin, N. 10 2004 The Schwarz-Voronov embedding of \(\mathbb{Z}_2^n\)-manifolds. Zbl 1433.58011 Bruce, Andrew James; Ibarguengoytia, Eduardo; Poncin, Norbert 10 2020 Products in the category of \(\mathbb{Z}^n_2\)-manifolds. Zbl 1417.46034 Bruce, Andrew; Poncin, Norbert 9 2019 Koszul-Tate resolutions as cofibrant replacements of algebras over differential operators. Zbl 1423.18056 Di Brino, Gennaro; Pištalo, Damjan; Poncin, Norbert 9 2018 Higher categorified algebras versus bounded homotopy algebras. Zbl 1237.17023 Khudaverdyan, David; Mandal, Ashis; Poncin, Norbert 7 2011 Homotopical algebraic context over differential operators. Zbl 1499.14034 Di Brino, Gennaro; Pištalo, Damjan; Poncin, Norbert 6 2019 Linear \(\mathbb{Z}_2^n\)-manifolds and linear actions. Zbl 1477.58004 Bruce, Andrew James; Ibarguëngoytia, Eduardo; Poncin, Norbert 6 2021 Geometric structures encoded in the Lie structure of an Atiyah algebroid. Zbl 1288.58010 Grabowski, Janusz; Kotov, Alexei; Poncin, Norbert 6 2011 On the infinity category of homotopy Leibniz algebras. Zbl 1305.18038 Khudaverdyan, David; Poncin, Norbert; Qiu, Jian 5 2014 Differential graded Lie groups and their differential graded Lie algebras. Zbl 1504.22022 Jubin, Benoit; Kotov, Alexei; Poncin, Norbert; Salnikov, Vladimir 5 2022 Free Courant and derived Leibniz pseudoalgebras. Zbl 1388.17003 Jubin, Benoît; Poncin, Norbert; Uchino, Kyosuke 4 2016 The Lie superalgebra of a supermanifold. Zbl 1207.58005 Grabowski, Jannusz; Kotov, Alexei; Poncin, Norbert 4 2010 Cohomology of the Lie algebra of differential operators on a manifold, with coefficients in the space of functions. (Cohomologie de l’algèbre de Lie des opérateurs différentiels sur une variété, à coefficients dans les fonctions.) Zbl 0968.17008 Poncin, Norbert 3 1999 First and second cohomology space of the Lie algebra of differential operators on a manifold with coefficients in the space of functions. (Premier et deuxième espaces de cohomologie de l’algèbre de Lie des opérateurs différentiels sur une variété, à coefficients dans les fonctions.) Zbl 0971.17011 Poncin, Norbert 3 1998 On Koszul-Tate resolutions and Sullivan models. Zbl 1474.18037 Pištalo, Damjan; Poncin, Norbert 3 2018 Equivariant operators between some modules of the Lie algebra of vector fields. Zbl 1082.17011 Poncin, N. 3 2004 Lie superalgebras of differential operators. Zbl 1264.58004 Grabowski, Janusz; Kotov, Alexei; Poncin, Norbert 3 2013 On the cohomology of the Nijenhuis-Richardson graded Lie algebra of the space of functions of a manifold. Zbl 1012.17014 Poncin, Norbert 2 2001 On a general approach to the formal cohomology of quadratic Poisson structures. Zbl 1174.17018 Masmoudi, Mohsen; Poncin, Norbert 2 2007 Derivations of the Lie algebras of differential operators. Zbl 1154.17305 Grabowski, Janusz; Poncin, N. 2 2005 A first approximation for quantization of singular spaces. Zbl 1173.53043 Poncin, Norbert; Radoux, Fabian; Wolak, Robert 2 2009 Strongly \(r\)-matrix induced tensors, Koszul cohomology, and arbitrary-dimensional quadratic Poisson cohomology. Zbl 1256.17009 Ammar, Mourad; Kass, Guy; Masmoudi, Mohsen; Poncin, Norbert 2 2010 Lie algebraic characterization of manifolds. Zbl 1138.53313 Grabowski, Janusz; Poncin, Norbert 2 2004 Chevalley-Eilenberg cohomology of the algebra of local operators on the space of functions on a manifold. (Cohomologie de Chevalley-Eilenberg de l’algèbre des opérateurs locaux sur l’espace des fonctions d’une variété.) Zbl 0951.17010 Poncin, Norbert 1 1998 Third cohomology space of the Lie algebra of differential operators on a manifold with coefficients in the space of functions. (Troisième espace de cohomologie de l’algèbre de Lie des opérateurs différentiels sur une variété, à coefficients dans les fonctions.) Zbl 0971.17012 Poncin, Norbert 1 1998 Comparison theorems for Kan, faintly universal and strongly universal derived functors. Zbl 1513.18006 Govzmann, Alisa; Pištalo, Damjan; Poncin, Norbert 1 2022 Formal Poisson cohomology of twisted \(r\)-matrix induced structures. Zbl 1146.53054 Ammar, Mourad; Poncin, Norbert 1 2008 On quantum and classical Poisson algebras. Zbl 1209.17018 Grabowski, Janusz; Poncin, Norbert 1 2007 Differential graded Lie groups and their differential graded Lie algebras. Zbl 1504.22022 Jubin, Benoit; Kotov, Alexei; Poncin, Norbert; Salnikov, Vladimir 5 2022 Comparison theorems for Kan, faintly universal and strongly universal derived functors. Zbl 1513.18006 Govzmann, Alisa; Pištalo, Damjan; Poncin, Norbert 1 2022 Local forms of morphisms of colored supermanifolds. Zbl 1478.58004 Covolo, Tiffany; Kwok, Stephen; Poncin, Norbert 11 2021 Linear \(\mathbb{Z}_2^n\)-manifolds and linear actions. Zbl 1477.58004 Bruce, Andrew James; Ibarguëngoytia, Eduardo; Poncin, Norbert 6 2021 The Schwarz-Voronov embedding of \(\mathbb{Z}_2^n\)-manifolds. Zbl 1433.58011 Bruce, Andrew James; Ibarguengoytia, Eduardo; Poncin, Norbert 10 2020 Functional analytic issues in \(\mathbb{Z}_2^n\)-geometry. Zbl 1431.58002 Bruce, Andrew James; Poncin, Norbert 12 2019 Products in the category of \(\mathbb{Z}^n_2\)-manifolds. Zbl 1417.46034 Bruce, Andrew; Poncin, Norbert 9 2019 Homotopical algebraic context over differential operators. Zbl 1499.14034 Di Brino, Gennaro; Pištalo, Damjan; Poncin, Norbert 6 2019 Koszul-Tate resolutions as cofibrant replacements of algebras over differential operators. Zbl 1423.18056 Di Brino, Gennaro; Pištalo, Damjan; Poncin, Norbert 9 2018 On Koszul-Tate resolutions and Sullivan models. Zbl 1474.18037 Pištalo, Damjan; Poncin, Norbert 3 2018 The category of \(\mathbb{Z}_2^n\)-supermanifolds. Zbl 1345.58003 Covolo, Tiffany; Grabowski, Janusz; Poncin, Norbert 26 2016 Splitting theorem for \(\mathbb{Z}_2^n\)-supermanifolds. Zbl 1404.58011 Covolo, Tiffany; Grabowski, Janusz; Poncin, Norbert 25 2016 Towards integration on colored supermanifolds. Zbl 1416.58002 Poncin, Norbert 21 2016 A tale of three homotopies. Zbl 1375.18076 Dotsenko, Vladimir; Poncin, Norbert 12 2016 Free Courant and derived Leibniz pseudoalgebras. Zbl 1388.17003 Jubin, Benoît; Poncin, Norbert; Uchino, Kyosuke 4 2016 On the infinity category of homotopy Leibniz algebras. Zbl 1305.18038 Khudaverdyan, David; Poncin, Norbert; Qiu, Jian 5 2014 On the category of Lie \(n\)-algebroids. Zbl 1332.58005 Bonavolontà, Giuseppe; Poncin, Norbert 44 2013 The supergeometry of Loday algebroids. Zbl 1294.53072 Grabowski, Janusz; Khudaverdyan, David; Poncin, Norbert 19 2013 Lie superalgebras of differential operators. Zbl 1264.58004 Grabowski, Janusz; Kotov, Alexei; Poncin, Norbert 3 2013 Higher trace and Berezinian of matrices over a Clifford algebra. Zbl 1308.15023 Covolo, Tiffany; Ovsienko, Valentin; Poncin, Norbert 19 2012 Higher categorified algebras versus bounded homotopy algebras. Zbl 1237.17023 Khudaverdyan, David; Mandal, Ashis; Poncin, Norbert 7 2011 Geometric structures encoded in the Lie structure of an Atiyah algebroid. Zbl 1288.58010 Grabowski, Janusz; Kotov, Alexei; Poncin, Norbert 6 2011 Coalgebraic approach to the Loday infinity category, stem differential for \(2n\)-ary graded and homotopy algebras. Zbl 1208.53084 Ammar, Mourad; Poncin, Norbert 24 2010 The Lie superalgebra of a supermanifold. Zbl 1207.58005 Grabowski, Jannusz; Kotov, Alexei; Poncin, Norbert 4 2010 Strongly \(r\)-matrix induced tensors, Koszul cohomology, and arbitrary-dimensional quadratic Poisson cohomology. Zbl 1256.17009 Ammar, Mourad; Kass, Guy; Masmoudi, Mohsen; Poncin, Norbert 2 2010 A first approximation for quantization of singular spaces. Zbl 1173.53043 Poncin, Norbert; Radoux, Fabian; Wolak, Robert 2 2009 Formal Poisson cohomology of twisted \(r\)-matrix induced structures. Zbl 1146.53054 Ammar, Mourad; Poncin, Norbert 1 2008 On a general approach to the formal cohomology of quadratic Poisson structures. Zbl 1174.17018 Masmoudi, Mohsen; Poncin, Norbert 2 2007 On quantum and classical Poisson algebras. Zbl 1209.17018 Grabowski, Janusz; Poncin, Norbert 1 2007 Derivations of the Lie algebras of differential operators. Zbl 1154.17305 Grabowski, Janusz; Poncin, N. 2 2005 Automorphisms of quantum and classical Poisson algebras. Zbl 1044.17013 Grabowski, J.; Poncin, N. 10 2004 Equivariant operators between some modules of the Lie algebra of vector fields. Zbl 1082.17011 Poncin, N. 3 2004 Lie algebraic characterization of manifolds. Zbl 1138.53313 Grabowski, Janusz; Poncin, Norbert 2 2004 Equivariant symbol calculus for differential operators acting on forms. Zbl 1035.17034 Boniver, F.; Hansoul, S.; Mathonet, P.; Poncin, N. 13 2002 On the cohomology of the Nijenhuis-Richardson graded Lie algebra of the space of functions of a manifold. Zbl 1012.17014 Poncin, Norbert 2 2001 Cohomology of the Lie algebra of differential operators on a manifold, with coefficients in the space of functions. (Cohomologie de l’algèbre de Lie des opérateurs différentiels sur une variété, à coefficients dans les fonctions.) Zbl 0968.17008 Poncin, Norbert 3 1999 First and second cohomology space of the Lie algebra of differential operators on a manifold with coefficients in the space of functions. (Premier et deuxième espaces de cohomologie de l’algèbre de Lie des opérateurs différentiels sur une variété, à coefficients dans les fonctions.) Zbl 0971.17011 Poncin, Norbert 3 1998 Chevalley-Eilenberg cohomology of the algebra of local operators on the space of functions on a manifold. (Cohomologie de Chevalley-Eilenberg de l’algèbre des opérateurs locaux sur l’espace des fonctions d’une variété.) Zbl 0951.17010 Poncin, Norbert 1 1998 Third cohomology space of the Lie algebra of differential operators on a manifold with coefficients in the space of functions. (Troisième espace de cohomologie de l’algèbre de Lie des opérateurs différentiels sur une variété, à coefficients dans les fonctions.) Zbl 0971.17012 Poncin, Norbert 1 1998 all cited Publications top 5 cited Publications all top 5 Cited by 152 Authors 26 Poncin, Norbert 16 Bruce, Andrew James 13 Sheng, Yunhe 10 Grabowski, Janusz 7 Aizawa, Naruhiko 7 Kotov, Alexei 6 Laurent-Gengoux, Camille 6 Radoux, Fabian 5 Covolo, Tiffany 5 Mathonet, Pierre 4 Pištalo, Damjan 4 Salnikov, Vladimir 4 Stiénon, Mathieu 4 Xu, Ping 3 Amakawa, Kosuke 3 Doi, Shunya 3 Duplij, Steven 3 Ibarguengoytia, Eduardo 3 Jotz Lean, Madeleine 3 Liu, Jiefeng 3 Liu, Zhangju 3 Mohammadi, Mohammad Hassan 3 Vitagliano, Luca 2 Ammar, Mourad 2 Bavula, Vladimir V. 2 Chen, Zhuo 2 Das, Apurba 2 Dereli, Tekin 2 Di Brino, Gennaro 2 Doğan, Keremcan 2 Dolgushev, Vasily A. 2 Evangelista-Alvarado, Miguel Ángel 2 Grabowska, Katarzyna 2 Hansoul, Sarah 2 Ito, Ren 2 Jubin, Benoît 2 Jurčo, Branislav 2 Lang, Honglei 2 Lavau, Sylvain 2 Louis, Ruben 2 Marmo, Giuseppe 2 Mishra, Satyendra Kumar 2 Mukherjee, Goutam 2 Paljug, Brian 2 Rogers, Christopher Lee 2 Ruíz-Pantaleón, José Crispín 2 Sämann, Christian 2 Strobl, Thomas 2 Suárez-Serrato, Pablo 2 Tang, Rong 2 Varsaie, Saad 2 Vysoký, Jan 2 Wolak, Robert A. 2 Xu, Xiaomeng 2 Zambon, Marco 2 Zhu, Chenchang 2 Zucchini, Roberto 1 Alleaume, Clément 1 Alpay, Daniel Aron 1 Bąk, Łukasz 1 Bandiera, Ruggero 1 Bischoff, Francis 1 Bonavolontà, Giuseppe 1 Bouarroudj, Sofiane 1 Brahic, Olivier 1 Bursztyn, Henrique 1 Cai, Xiongwei 1 Campos, Ricardo 1 Cariñena, José F. 1 Caseiro, Raquel 1 Castiglioni, José Luis 1 Cerejeiras, Paula 1 Clemente-Gallardo, Jesús 1 Couéraud, Benjamin 1 Cueca, Miquel 1 D’Avanzo, Antonella 1 Deser, Andreas 1 Dotsenko, Vladimir Viktorovich 1 Esen, Oğul 1 Fairon, Maxime 1 Fernandez, Javier Alejandro 1 Frégier, Yaël 1 García-Martínez, Xabier 1 Gondhali, Shilpa 1 Govzmann, Alisa 1 Grady, Ryan E. 1 Grigoriev, Maxim 1 Guiraud, Yves 1 Guo, Li 1 Guo, Yanhong 1 Gwilliam, Owen 1 Hoffbeck, Eric 1 Hoffnung, Alexander E. 1 Hou, Bo 1 Isaac, Phillip S. 1 Janssens, Bas 1 Jiang, Shuhan 1 Juchani, Mariana 1 Kähler, Uwe 1 Kosmann-Schwarzbach, Yvette ...and 52 more Authors all top 5 Cited in 60 Serials 23 Journal of Geometry and Physics 8 Journal of Mathematical Physics 7 Journal of Homotopy and Related Structures 7 Journal of Geometric Mechanics 6 Communications in Mathematical Physics 6 Letters in Mathematical Physics 5 Communications in Algebra 5 International Journal of Geometric Methods in Modern Physics 4 Communications in Contemporary Mathematics 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Journal of Noncommutative Geometry 4 Journal of Physics A: Mathematical and Theoretical 3 Nuclear Physics. B 3 Advances in Mathematics 3 Journal of Nonlinear Mathematical Physics 3 Journal of Algebra and its Applications 2 Reports on Mathematical Physics 2 Fortschritte der Physik 2 Annales de l’Institut Fourier 2 Dissertationes Mathematicae 2 Journal of Algebra 2 Journal of Pure and Applied Algebra 2 Differential Geometry and its Applications 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Applied Categorical Structures 2 Transformation Groups 2 Central European Journal of Mathematics 2 Higher Structures 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Linear and Multilinear Algebra 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Reviews in Mathematical Physics 1 Archivum Mathematicum 1 Compositio Mathematica 1 Czechoslovak Mathematical Journal 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Topology and its Applications 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Indagationes Mathematicae. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Russian Journal of Mathematical Physics 1 Journal of Lie Theory 1 Selecta Mathematica. New Series 1 Documenta Mathematica 1 Journal of High Energy Physics 1 Annales Henri Poincaré 1 Journal of the Australian Mathematical Society 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Journal of the Institute of Mathematics of Jussieu 1 Journal of Mathematical Physics, Analysis, Geometry 1 Frontiers of Mathematics in China 1 Symmetry 1 Journal of Computational Dynamics 1 European Journal of Mathematics 1 Electronic Research Archive 1 Graduate Journal of Mathematics all top 5 Cited in 28 Fields 73 Differential geometry (53-XX) 66 Nonassociative rings and algebras (17-XX) 54 Global analysis, analysis on manifolds (58-XX) 27 Associative rings and algebras (16-XX) 27 Category theory; homological algebra (18-XX) 26 Quantum theory (81-XX) 12 Algebraic geometry (14-XX) 9 Topological groups, Lie groups (22-XX) 7 Algebraic topology (55-XX) 7 Manifolds and cell complexes (57-XX) 6 Commutative algebra (13-XX) 6 Mechanics of particles and systems (70-XX) 5 Functional analysis (46-XX) 5 Relativity and gravitational theory (83-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Computer science (68-XX) 2 Group theory and generalizations (20-XX) 2 Partial differential equations (35-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 2 General topology (54-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Functions of a complex variable (30-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Numerical analysis (65-XX) Citations by Year